358151
The electric dipole moment of an electron and a proton \(4.3\;nm\) apart is
1 \(6.88 \times {10^{ - 28}}C - m\)
2 \(2.56 \times {10^{ - 29}}{C^2} - {m^{ - 1}}\)
3 \(3.72 \times {10^{ - 14}}C - {m^{ - 1}}\)
4 \(1.1 \times {10^{ - 46}}{C^2} - m\)
Explanation:
The electric dipole moment is equal to \(\quad p=1.6 \times 10^{-19} \times 4.3 \times 10^{-9}\) \([\because p = q \times 2l]\) \( = 6.88 \times {10^{ - 28}}C - m\)
PHXII01:ELECTRIC CHARGES AND FIELDS
358152
There exists a non-uniform electric field along \(x\)-axis as shown in the figure below. The field increases at a uniform rate along +\(ve\) \(x\)-axis. A dipole is placed inside the field as shown. Which one of the following is correct for the dipole?
1 Dipole moves along positive \(x\)-axis and undergoes a clockwise rotation
2 Dipole moves along negative \(x\)-axis and undergoes a clockwise rotation
3 Dipole moves along postive \(x\)-axis and undergoes a anticlockwise rotation
4 Dipole moves along negative \(x\)-axis and undergoes a anticlockwise rotation
Explanation:
The dipole is placed in a non-uniform field, therefore a force as well as a torque acts on it. Let \({E_1}\,{\rm{and}}\,{E_2}\) be the electric fields at the charges \( - q\) and q respectively. The force on the negative charge is more \(\left( {F \propto E} \right)\) and is directed along negative \(x\)-axis. Thus the dipole moves along negative \(x\)-axis and rotates in an anticlockwise direction.
PHXII01:ELECTRIC CHARGES AND FIELDS
358153
If field is non-uniform and a dipole is placed in it. Then,
1 Dipole must be in rotation
2 Dipole can be in rotation and translation
3 Dipole must be in translation
4 Dipole does not show any rotation or translation
Explanation:
If \({\vec E}\) is not parallel or antiparallel to \({\vec p}\) then force and torque will be present on the dipole. So option (2) is correct.
PHXII01:ELECTRIC CHARGES AND FIELDS
358154
An electric dipole is kept in non-uniform electric field. Predict the wrong option
1 It can experience a force but not a torque.
2 It can experience a torque but not a force.
3 It can experience a force and a torque.
4 It can experience neither a force nor a torque.
Explanation:
As the dipole will feel two forces which are opposite but not equal. \(\therefore \) A net force will be there and as these forces act at different points of a body. A torque can also be there.
358151
The electric dipole moment of an electron and a proton \(4.3\;nm\) apart is
1 \(6.88 \times {10^{ - 28}}C - m\)
2 \(2.56 \times {10^{ - 29}}{C^2} - {m^{ - 1}}\)
3 \(3.72 \times {10^{ - 14}}C - {m^{ - 1}}\)
4 \(1.1 \times {10^{ - 46}}{C^2} - m\)
Explanation:
The electric dipole moment is equal to \(\quad p=1.6 \times 10^{-19} \times 4.3 \times 10^{-9}\) \([\because p = q \times 2l]\) \( = 6.88 \times {10^{ - 28}}C - m\)
PHXII01:ELECTRIC CHARGES AND FIELDS
358152
There exists a non-uniform electric field along \(x\)-axis as shown in the figure below. The field increases at a uniform rate along +\(ve\) \(x\)-axis. A dipole is placed inside the field as shown. Which one of the following is correct for the dipole?
1 Dipole moves along positive \(x\)-axis and undergoes a clockwise rotation
2 Dipole moves along negative \(x\)-axis and undergoes a clockwise rotation
3 Dipole moves along postive \(x\)-axis and undergoes a anticlockwise rotation
4 Dipole moves along negative \(x\)-axis and undergoes a anticlockwise rotation
Explanation:
The dipole is placed in a non-uniform field, therefore a force as well as a torque acts on it. Let \({E_1}\,{\rm{and}}\,{E_2}\) be the electric fields at the charges \( - q\) and q respectively. The force on the negative charge is more \(\left( {F \propto E} \right)\) and is directed along negative \(x\)-axis. Thus the dipole moves along negative \(x\)-axis and rotates in an anticlockwise direction.
PHXII01:ELECTRIC CHARGES AND FIELDS
358153
If field is non-uniform and a dipole is placed in it. Then,
1 Dipole must be in rotation
2 Dipole can be in rotation and translation
3 Dipole must be in translation
4 Dipole does not show any rotation or translation
Explanation:
If \({\vec E}\) is not parallel or antiparallel to \({\vec p}\) then force and torque will be present on the dipole. So option (2) is correct.
PHXII01:ELECTRIC CHARGES AND FIELDS
358154
An electric dipole is kept in non-uniform electric field. Predict the wrong option
1 It can experience a force but not a torque.
2 It can experience a torque but not a force.
3 It can experience a force and a torque.
4 It can experience neither a force nor a torque.
Explanation:
As the dipole will feel two forces which are opposite but not equal. \(\therefore \) A net force will be there and as these forces act at different points of a body. A torque can also be there.
358151
The electric dipole moment of an electron and a proton \(4.3\;nm\) apart is
1 \(6.88 \times {10^{ - 28}}C - m\)
2 \(2.56 \times {10^{ - 29}}{C^2} - {m^{ - 1}}\)
3 \(3.72 \times {10^{ - 14}}C - {m^{ - 1}}\)
4 \(1.1 \times {10^{ - 46}}{C^2} - m\)
Explanation:
The electric dipole moment is equal to \(\quad p=1.6 \times 10^{-19} \times 4.3 \times 10^{-9}\) \([\because p = q \times 2l]\) \( = 6.88 \times {10^{ - 28}}C - m\)
PHXII01:ELECTRIC CHARGES AND FIELDS
358152
There exists a non-uniform electric field along \(x\)-axis as shown in the figure below. The field increases at a uniform rate along +\(ve\) \(x\)-axis. A dipole is placed inside the field as shown. Which one of the following is correct for the dipole?
1 Dipole moves along positive \(x\)-axis and undergoes a clockwise rotation
2 Dipole moves along negative \(x\)-axis and undergoes a clockwise rotation
3 Dipole moves along postive \(x\)-axis and undergoes a anticlockwise rotation
4 Dipole moves along negative \(x\)-axis and undergoes a anticlockwise rotation
Explanation:
The dipole is placed in a non-uniform field, therefore a force as well as a torque acts on it. Let \({E_1}\,{\rm{and}}\,{E_2}\) be the electric fields at the charges \( - q\) and q respectively. The force on the negative charge is more \(\left( {F \propto E} \right)\) and is directed along negative \(x\)-axis. Thus the dipole moves along negative \(x\)-axis and rotates in an anticlockwise direction.
PHXII01:ELECTRIC CHARGES AND FIELDS
358153
If field is non-uniform and a dipole is placed in it. Then,
1 Dipole must be in rotation
2 Dipole can be in rotation and translation
3 Dipole must be in translation
4 Dipole does not show any rotation or translation
Explanation:
If \({\vec E}\) is not parallel or antiparallel to \({\vec p}\) then force and torque will be present on the dipole. So option (2) is correct.
PHXII01:ELECTRIC CHARGES AND FIELDS
358154
An electric dipole is kept in non-uniform electric field. Predict the wrong option
1 It can experience a force but not a torque.
2 It can experience a torque but not a force.
3 It can experience a force and a torque.
4 It can experience neither a force nor a torque.
Explanation:
As the dipole will feel two forces which are opposite but not equal. \(\therefore \) A net force will be there and as these forces act at different points of a body. A torque can also be there.
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PHXII01:ELECTRIC CHARGES AND FIELDS
358151
The electric dipole moment of an electron and a proton \(4.3\;nm\) apart is
1 \(6.88 \times {10^{ - 28}}C - m\)
2 \(2.56 \times {10^{ - 29}}{C^2} - {m^{ - 1}}\)
3 \(3.72 \times {10^{ - 14}}C - {m^{ - 1}}\)
4 \(1.1 \times {10^{ - 46}}{C^2} - m\)
Explanation:
The electric dipole moment is equal to \(\quad p=1.6 \times 10^{-19} \times 4.3 \times 10^{-9}\) \([\because p = q \times 2l]\) \( = 6.88 \times {10^{ - 28}}C - m\)
PHXII01:ELECTRIC CHARGES AND FIELDS
358152
There exists a non-uniform electric field along \(x\)-axis as shown in the figure below. The field increases at a uniform rate along +\(ve\) \(x\)-axis. A dipole is placed inside the field as shown. Which one of the following is correct for the dipole?
1 Dipole moves along positive \(x\)-axis and undergoes a clockwise rotation
2 Dipole moves along negative \(x\)-axis and undergoes a clockwise rotation
3 Dipole moves along postive \(x\)-axis and undergoes a anticlockwise rotation
4 Dipole moves along negative \(x\)-axis and undergoes a anticlockwise rotation
Explanation:
The dipole is placed in a non-uniform field, therefore a force as well as a torque acts on it. Let \({E_1}\,{\rm{and}}\,{E_2}\) be the electric fields at the charges \( - q\) and q respectively. The force on the negative charge is more \(\left( {F \propto E} \right)\) and is directed along negative \(x\)-axis. Thus the dipole moves along negative \(x\)-axis and rotates in an anticlockwise direction.
PHXII01:ELECTRIC CHARGES AND FIELDS
358153
If field is non-uniform and a dipole is placed in it. Then,
1 Dipole must be in rotation
2 Dipole can be in rotation and translation
3 Dipole must be in translation
4 Dipole does not show any rotation or translation
Explanation:
If \({\vec E}\) is not parallel or antiparallel to \({\vec p}\) then force and torque will be present on the dipole. So option (2) is correct.
PHXII01:ELECTRIC CHARGES AND FIELDS
358154
An electric dipole is kept in non-uniform electric field. Predict the wrong option
1 It can experience a force but not a torque.
2 It can experience a torque but not a force.
3 It can experience a force and a torque.
4 It can experience neither a force nor a torque.
Explanation:
As the dipole will feel two forces which are opposite but not equal. \(\therefore \) A net force will be there and as these forces act at different points of a body. A torque can also be there.